迁移方程解的展开定理(英文)

The Expansion Theorm of the solutions of the Transport Equation

本文使用Hilbert-Schmidt算子的分解理论 ,证明了 :有界凸体中一类具各向异性散射和裂变的迁移方程解的展开定理 ,并说明了该展开式在一致算子拓扑意义一致收敛。

In this paper, By the decompose theory of Hilbert-Schmidt operator,We have proved that the expansion theorem of the solutions of the transport equation for a bounded convex body with anisotropic scattering and fission, and the expansion converges uniformly in the uniform operator topology.